\(\left(\frac{24}{25}-\frac{13}{30}\right)\cdot6\)

Приведём дроби к общему знаменателю 150:

\(\left(\frac{24}{25}-\frac{13}{30}\right)\cdot6=\left(\frac{144}{150}-\frac{65}{150}\right)\cdot6=\frac{79}{150}\cdot6=\frac{79}{25}=3\frac{4}{25}\).

Ответ: \(3\frac{4}{25}\).